Nonlinear nonlocal models exist in many fields of physics. The most known of them are
models possessing PΤ-symmetries. Apart of PΤ-symmetric models, nonlocal models with�…

In this paper, nonlocal symmetries are considered for some integrable equations including
the first equation of the AKNS hierarchy, the so-called breaking soliton equation, the�…

After publishing the pioneering works of Ablowitz and Musslimani, other authors also began
active research on nonlocal forms of classical integrable nonlinear equations. They usually�…

Computational and geometric aspects of nonlocal (infinitesimal) symmetries of nonlinear
partial differential equations are considered. In particular, the relation of nonlocal�…

We consider nonlocal symmetries that all or all even (all odd) equations of the AKNS
hierarchy have. We construct examples of solutions simultaneously satisfying several�…

In additional to the parity (P) symmetric, time reversal (T) symmetric, and PT symmetric
nonlocal integrable systems, some other types of nonlocal integrable Klein–Gordon models�…

A generalized Kadomtsev—Petviashvili equation is studied by nonlocal symmetry method
and consistent Riccati expansion (CRE) method in this paper. Applying the truncated�…

General soliton solutions to a nonlocal nonlinear Schr�dinger (NLS) equation with PT-
symmetry for both zero and nonzero boundary conditions are considered via the�…

We study nonlocal symmetries of Plebański's second heavenly equation in an infinite-
dimensional covering associated to a Lax pair with a non-removable spectral parameter. We�…

By including spectral functions, we obtain nonlocal symmetries equivalent to Lie point
symmetries of the corresponding extended systems for the Boussinesq equation, the�…